Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
5201	Solve Using an Augmented Matrix	3x-4y+4z=4 , 3x+5y-z=9 , 12x-7y+11z=21	$3 x - 4 y + 4 z = 4$ , $3 x + 5 y - z = 9$ , $12 x - 7 y + 11 z = 21$
5202	Solve Using an Augmented Matrix	3x-4y+7z=24 , y+9z=-7 , -2x+3y=12	$3 x - 4 y + 7 z = 24$ , $y + 9 z = - 7$ , $- 2 x + 3 y = 12$
5203	Solve Using an Augmented Matrix	3x-4y=-12 , 6x-8y=-9	$3 x - 4 y = - 12$ , $6 x - 8 y = - 9$
5204	Solve Using an Augmented Matrix	3x-4y=3 , -5x+7y=0	$3 x - 4 y = 3$ , $- 5 x + 7 y = 0$
5205	Solve Using an Augmented Matrix	3x-5y+z=9 , x+y=7	$3 x - 5 y + z = 9$ , $x + y = 7$
5206	Solve Using an Augmented Matrix	-3x-5y=-11 , 4x-2y=32	$- 3 x - 5 y = - 11$ , $4 x - 2 y = 32$
5207	Solve Using an Augmented Matrix	3x-5y=12 , 15x-25y=60	$3 x - 5 y = 12$ , $15 x - 25 y = 60$
5208	Solve Using an Augmented Matrix	3x-7y+z=7 , x+y=7	$3 x - 7 y + z = 7$ , $x + y = 7$
5209	Solve Using an Augmented Matrix	3x-8y=144 , 3x-2y=-6	$3 x - 8 y = 144$ , $3 x - 2 y = - 6$
5210	Solve Using an Augmented Matrix	3x-y=8 , -9x+3y=-10	$3 x - y = 8$ , $- 9 x + 3 y = - 10$
5211	Solve Using an Augmented Matrix	3y+2z=4 , 2x-y-3z=4 , 2x+2y-z=8	$3 y + 2 z = 4$ , $2 x - y - 3 z = 4$ , $2 x + 2 y - z = 8$
5212	Solve Using an Augmented Matrix	-3z=6 , 2x+y-2z=6 , -6x-3y=-6	$- 3 z = 6$ , $2 x + y - 2 z = 6$ , $- 6 x - 3 y = - 6$
5213	Solve Using an Augmented Matrix	-4-9y-z=-20 , -8x-6y-2z=16 , 6x+9y+2=22	$- 4 - 9 y - z = - 20$ , $- 8 x - 6 y - 2 z = 16$ , $6 x + 9 y + 2 = 22$
5214	Solve Using an Augmented Matrix	4i1-2i2-i3=-12 , 3i1-5i2-2i3=-14 , 2i1-2i2-i*3=-10	$4 i \cdot 1 - 2 i \cdot 2 - i \cdot 3 = - 12$ , $3 i \cdot 1 - 5 i \cdot 2 - 2 i \cdot 3 = - 14$ , $2 i \cdot 1 - 2 i \cdot 2 - i \cdot 3 = - 10$
5215	Solve Using an Augmented Matrix	4m+3n=26 , 3m+7n=29	$4 m + 3 n = 26$ , $3 m + 7 n = 29$
5216	Solve Using an Augmented Matrix	4x1-14x2-2x3=68 , x1-4x*2=19	$4 x \cdot 1 - 14 x \cdot 2 - 2 x \cdot 3 = 68$ , $x \cdot 1 - 4 x \cdot 2 = 19$
5217	Solve Using an Augmented Matrix	4x1-5x2=-3 , -12x1+15x2=9	$4 x \cdot 1 - 5 x \cdot 2 = - 3$ , $- 12 x \cdot 1 + 15 x \cdot 2 = 9$
5218	Solve Using an Augmented Matrix	4x+2y=34 , 10x-4y=-5	$4 x + 2 y = 34$ , $10 x - 4 y = - 5$
5219	Solve Using an Augmented Matrix	4x+3y=11 , x-3y=-1	$4 x + 3 y = 11$ , $x - 3 y = - 1$
5220	Solve Using an Augmented Matrix	4x+3y=26 , 3x+7y=9	$4 x + 3 y = 26$ , $3 x + 7 y = 9$
5221	Solve Using an Augmented Matrix	4x+3y=4 , x+2y=11	$4 x + 3 y = 4$ , $x + 2 y = 11$
5222	Solve Using an Augmented Matrix	4x+3y=7 , 8x+6y=4	$4 x + 3 y = 7$ , $8 x + 6 y = 4$
5223	Solve Using an Augmented Matrix	-4x+4y=4 , 3x-3y=-3	$- 4 x + 4 y = 4$ , $3 x - 3 y = - 3$
5224	Solve Using an Augmented Matrix	4a+4y-4Z=24 , 2a-y+Z=-9 , a-2y+3Z=1	$4 a + 4 y - 4 Z = 24$ , $2 a - y + Z = - 9$ , $a - 2 y + 3 Z = 1$
5225	Solve Using an Augmented Matrix	-4x+y=7 , 7x-2y=5	$- 4 x + y = 7$ , $7 x - 2 y = 5$
5226	Solve Using an Augmented Matrix	4x-2y+7z=26 , 5x+3y-5z=-50 , -7x-8y-3z=49	$4 x - 2 y + 7 z = 26$ , $5 x + 3 y - 5 z = - 50$ , $- 7 x - 8 y - 3 z = 49$
5227	Solve Using an Augmented Matrix	4x-3y=-5 , 7x-y=4	$4 x - 3 y = - 5$ , $7 x - y = 4$
5228	Solve Using an Augmented Matrix	4x-4y=9 , 8y+32z=43 , x+4z=6	$4 x - 4 y = 9$ , $8 y + 32 z = 43$ , $x + 4 z = 6$
5229	Solve Using an Augmented Matrix	-4x-5y=15 , -2x+2y=-6	$- 4 x - 5 y = 15$ , $- 2 x + 2 y = - 6$
5230	Solve Using an Augmented Matrix	-4x-5y=5 , -12x-15y=15	$- 4 x - 5 y = 5$ , $- 12 x - 15 y = 15$
5231	Solve Using an Augmented Matrix	4x-5y=9 , 3x+7y=4	$4 x - 5 y = 9$ , $3 x + 7 y = 4$
5232	Solve Using an Augmented Matrix	4x-72=72 , 5x-8y=-8	$4 x - 72 = 72$ , $5 x - 8 y = - 8$
5233	Solve Using an Augmented Matrix	4x-72y=72 , 5x-8y=-8	$4 x - 72 y = 72$ , $5 x - 8 y = - 8$
5234	Solve Using an Augmented Matrix	4x-8y=12 , -x+6y=17	$4 x - 8 y = 12$ , $- x + 6 y = 17$
5235	Solve Using an Augmented Matrix	4x-y+3z=-8 , x-8y+5z=3 , 2y-7z=-4	$4 x - y + 3 z = - 8$ , $x - 8 y + 5 z = 3$ , $2 y - 7 z = - 4$
5236	Solve Using an Augmented Matrix	4x-y=0.36 , 3x+y=0.4	$4 x - y = 0.36$ , $3 x + y = 0.4$
5237	Solve Using an Augmented Matrix	4x-y=7 , x+3y=5	$4 x - y = 7$ , $x + 3 y = 5$
5238	Solve Using an Augmented Matrix	5x1+6x2-4x3=8 , x1-2x4=4 , 8x1-9x2+x3=-5	$5 x \cdot 1 + 6 x \cdot 2 - 4 x \cdot 3 = 8$ , $x \cdot 1 - 2 x \cdot 4 = 4$ , $8 x \cdot 1 - 9 x \cdot 2 + x \cdot 3 = - 5$
5239	Solve Using an Augmented Matrix	5x1-3x2=20 , 7x1-5x2=20	$5 x \cdot 1 - 3 x \cdot 2 = 20$ , $7 x \cdot 1 - 5 x \cdot 2 = 20$
5240	Solve Using an Augmented Matrix	5x1-3x2=20 , 7x1-6x2=10	$5 x \cdot 1 - 3 x \cdot 2 = 20$ , $7 x \cdot 1 - 6 x \cdot 2 = 10$
5241	Solve Using an Augmented Matrix	5x1-4x2=10 , 7x1-5x2=20	$5 x \cdot 1 - 4 x \cdot 2 = 10$ , $7 x \cdot 1 - 5 x \cdot 2 = 20$
5242	Solve Using an Augmented Matrix	5x1-4x2=10 , 8x1-6x2=20	$5 x \cdot 1 - 4 x \cdot 2 = 10$ , $8 x \cdot 1 - 6 x \cdot 2 = 20$
5243	Solve Using an Augmented Matrix	5x+2y+2z=11 , 5x+3y+2z=12 , 5x+3y+3z=14	$5 x + 2 y + 2 z = 11$ , $5 x + 3 y + 2 z = 12$ , $5 x + 3 y + 3 z = 14$
5244	Solve Using an Augmented Matrix	5x+2y=9 , 15x+6y=27	$5 x + 2 y = 9$ , $15 x + 6 y = 27$
5245	Solve Using an Augmented Matrix	5x+2y=9 , -5x-2y=-9	$5 x + 2 y = 9$ , $- 5 x - 2 y = - 9$
5246	Solve Using an Augmented Matrix	5x+3y-2z=1 , x-y+z=6 , 2x+2y-z=-1	$5 x + 3 y - 2 z = 1$ , $x - y + z = 6$ , $2 x + 2 y - z = - 1$
5247	Solve Using an Augmented Matrix	5x+4y=-10 , 6x+5y=-13	$5 x + 4 y = - 10$ , $6 x + 5 y = - 13$
5248	Solve Using an Augmented Matrix	-5x+5y-20z=-35 , x-y+4z=7 , 4x-4y+16z=28	$- 5 x + 5 y - 20 z = - 35$ , $x - y + 4 z = 7$ , $4 x - 4 y + 16 z = 28$
5249	Solve Using an Augmented Matrix	5x+y=22 , x+5y=14	$5 x + y = 22$ , $x + 5 y = 14$
5250	Solve Using an Augmented Matrix	5x-1y=10 , x-2y=8	$5 x - 1 y = 10$ , $x - 2 y = 8$
5251	Solve Using an Augmented Matrix	5x-3y+3z=9 , 5x+2y-z=16 , 15x-4y+5z=34	$5 x - 3 y + 3 z = 9$ , $5 x + 2 y - z = 16$ , $15 x - 4 y + 5 z = 34$
5252	Solve Using an Augmented Matrix	5x-3y+4z=7 , 5x+2y-2z=11 , 20x-7y+10z=32	$5 x - 3 y + 4 z = 7$ , $5 x + 2 y - 2 z = 11$ , $20 x - 7 y + 10 z = 32$
5253	Solve Using an Augmented Matrix	5x-3y=-2 , 2x+7y=-9	$5 x - 3 y = - 2$ , $2 x + 7 y = - 9$
5254	Solve Using an Augmented Matrix	5x-4y=2 , -7x+y=11	$5 x - 4 y = 2$ , $- 7 x + y = 11$
5255	Solve Using an Augmented Matrix	5x-5y+2z=-13 , 10x-10y+4z=-23 , 15x-15y+6z=-37	$5 x - 5 y + 2 z = - 13$ , $10 x - 10 y + 4 z = - 23$ , $15 x - 15 y + 6 z = - 37$
5256	Solve Using an Augmented Matrix	5x-6x=-7 , -15x+18x=21	$5 x - 6 x = - 7$ , $- 15 x + 18 x = 21$
5257	Solve Using an Augmented Matrix	5x-6y=5 , 10x-12y=9	$5 x - 6 y = 5$ , $10 x - 12 y = 9$
5258	Solve Using an Augmented Matrix	5x-6y=7 , 10x-12y=14	$5 x - 6 y = 7$ , $10 x - 12 y = 14$
5259	Solve Using an Augmented Matrix	6-(2y-5x)/2=7x+3 , 18x-4y=2	$6 - \frac{2 y - 5 x}{2} = 7 x + 3$ , $18 x - 4 y = 2$
5260	Solve Using an Augmented Matrix	6x1-5x2=-7 , 18x1-15x2=-21	$6 x \cdot 1 - 5 x \cdot 2 = - 7$ , $18 x \cdot 1 - 15 x \cdot 2 = - 21$
5261	Solve Using an Augmented Matrix	6x+3y=-42 , x=15-6y	$6 x + 3 y = - 42$ , $x = 15 - 6 y$
5262	Solve Using an Augmented Matrix	-6x+3y=7 , 5x-9y=4	$- 6 x + 3 y = 7$ , $5 x - 9 y = 4$
5263	Solve Using an Augmented Matrix	-6x+y=5 , 2x-9y=5	$- 6 x + y = 5$ , $2 x - 9 y = 5$
5264	Solve Using an Augmented Matrix	6x+y=54 , 41x+7y=370	$6 x + y = 54$ , $41 x + 7 y = 370$
5265	Solve Using an Augmented Matrix	6x+y=59 , 41x+7y=404	$6 x + y = 59$ , $41 x + 7 y = 404$
5266	Solve Using an Augmented Matrix	6x-3y=3 , 7x-y=3	$6 x - 3 y = 3$ , $7 x - y = 3$
5267	Solve Using an Augmented Matrix	6x-5y=-1 , -12x+10y=2	$6 x - 5 y = - 1$ , $- 12 x + 10 y = 2$
5268	Solve Using an Augmented Matrix	6x-5y=-7 , -12x+10y=14	$6 x - 5 y = - 7$ , $- 12 x + 10 y = 14$
5269	Solve Using an Augmented Matrix	6x-y+3z=9 , 3y+5z=-1 , 8x+6y+5z=32	$6 x - y + 3 z = 9$ , $3 y + 5 z = - 1$ , $8 x + 6 y + 5 z = 32$
5270	Solve Using an Augmented Matrix	6x-y+4z=22 , 8y+6z=44 , 3x+2y+5z=27	$6 x - y + 4 z = 22$ , $8 y + 6 z = 44$ , $3 x + 2 y + 5 z = 27$
5271	Solve Using an Augmented Matrix	7x+2y=4 , 2x+3y=-11	$7 x + 2 y = 4$ , $2 x + 3 y = - 11$
5272	Solve Using an Augmented Matrix	7x+4y=8 , y=-7/4x+2	$7 x + 4 y = 8$ , $y = - \frac{7}{4} x + 2$
5273	Solve Using an Augmented Matrix	7x-2y+8z=-9 , 4x-3y+6z=1 , y-x=-7	$7 x - 2 y + 8 z = - 9$ , $4 x - 3 y + 6 z = 1$ , $y - x = - 7$
5274	Solve Using an Augmented Matrix	7x-4y=28 , 14x-8y=8	$7 x - 4 y = 28$ , $14 x - 8 y = 8$
5275	Solve Using an Augmented Matrix	7x-y+2z=-4 , 4y+3z=0 , 2x+3y+3z=-1	$7 x - y + 2 z = - 4$ , $4 y + 3 z = 0$ , $2 x + 3 y + 3 z = - 1$
5276	Solve Using an Augmented Matrix	7x-y-z=0 , x+y+z=8	$7 x - y - z = 0$ , $x + y + z = 8$
5277	Solve Using an Augmented Matrix	7y+6z=-2 , 7x-4y-5z=1 , 10x-5z=-4	$7 y + 6 z = - 2$ , $7 x - 4 y - 5 z = 1$ , $10 x - 5 z = - 4$
5278	Solve Using an Augmented Matrix	8x1+2x2+s1=400 , 2x1+x2+s2=120	$8 x \cdot 1 + 2 x \cdot 2 + s \cdot 1 = 400$ , $2 x \cdot 1 + x \cdot 2 + s \cdot 2 = 120$
5279	Solve Using an Augmented Matrix	8x1+9x2=117 , 4x1+6x2=66	$8 x \cdot 1 + 9 x \cdot 2 = 117$ , $4 x \cdot 1 + 6 x \cdot 2 = 66$
5280	Solve Using an Augmented Matrix	8x+5y+u=7 , x+6y+v=9 , -32x-2y+m=0	$8 x + 5 y + u = 7$ , $x + 6 y + v = 9$ , $- 32 x - 2 y + m = 0$
5281	Solve Using an Augmented Matrix	8x+9y=117 , 4x+6y=66	$8 x + 9 y = 117$ , $4 x + 6 y = 66$
5282	Solve Using an Augmented Matrix	8x+9z=34 , 6y+7z=44 , 6x+9y+7z=71	$8 x + 9 z = 34$ , $6 y + 7 z = 44$ , $6 x + 9 y + 7 z = 71$
5283	Solve Using an Augmented Matrix	8x-2y=2 , 6x-9y=2	$8 x - 2 y = 2$ , $6 x - 9 y = 2$
5284	Solve Using an Augmented Matrix	8x-3y=2 , 2x+9y=20	$8 x - 3 y = 2$ , $2 x + 9 y = 20$
5285	Solve Using an Augmented Matrix	8x-7y=-1 , -16x+14y=2	$8 x - 7 y = - 1$ , $- 16 x + 14 y = 2$
5286	Solve Using an Augmented Matrix	8x-7y=8 , 16x-14y=3	$8 x - 7 y = 8$ , $16 x - 14 y = 3$
5287	Solve Using an Augmented Matrix	-9x1+3x2=6 , 6x1-2x2=-4	$- 9 x \cdot 1 + 3 x \cdot 2 = 6$ , $6 x \cdot 1 - 2 x \cdot 2 = - 4$
5288	Solve Using an Augmented Matrix	9x+4z=22 , 6y+2z=8 , -2x+2y-2z=-4	$9 x + 4 z = 22$ , $6 y + 2 z = 8$ , $- 2 x + 2 y - 2 z = - 4$
5289	Solve Using an Augmented Matrix	9x+8y=3 , 7x-y=3	$9 x + 8 y = 3$ , $7 x - y = 3$
5290	Solve Using an Augmented Matrix	-9x-27y-12z=27 , 3x+9y+4z=-9	$- 9 x - 27 y - 12 z = 27$ , $3 x + 9 y + 4 z = - 9$
5291	Solve Using an Augmented Matrix	9x-4y=18 , 18x-8y=7	$9 x - 4 y = 18$ , $18 x - 8 y = 7$
5292	Solve Using an Augmented Matrix	a*1=3 , r=-3	$a \cdot 1 = 3$ , $r = - 3$
5293	Solve Using an Augmented Matrix	a+10=2(3-10) , 3/4*(a+10)=b+10	$a + 10 = 2 (3 - 10)$ , $\frac{3}{4} \cdot (a + 10) = b + 10$
5294	Solve Using an Augmented Matrix	C=100x+200 , R=120x	$C = 100 x + 200$ , $R = 120 x$
5295	Solve Using an Augmented Matrix	f=2500 , r=7%	$f = 2500$ , $r = 7 %$
5296	Solve Using an Augmented Matrix	i=330 , r=3% , t=1	$i = 330$ , $r = 3 %$ , $t = 1$
5297	Solve Using an Augmented Matrix	m=1 , b=3	$m = 1$ , $b = 3$
5298	Solve Using an Augmented Matrix	-3x+8y=7 , 7x-4y=7	$- 3 x + 8 y = 7$ , $7 x - 4 y = 7$
5299	Solve Using an Augmented Matrix	-3x+9y=8 , 9x-7y=3	$- 3 x + 9 y = 8$ , $9 x - 7 y = 3$
5300	Solve Using an Augmented Matrix	3x+y+z=50 , 5x+y+3z=110	$3 x + y + z = 50$ , $5 x + y + 3 z = 110$